LCM of 362, 730, 305, 646, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 730, 305, 646, 748 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 362, 730, 305, 646, 748. So, keep reading to learn more.
Given numbers are 362,730,305,646,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,730,305,646,748 is 57273862580.
Find LCM of 362,730,305,646,748 with Prime Factorization
| 2 | 362, 730, 305, 646, 748 |
| 5 | 181, 365, 305, 323, 374 |
| 17 | 181, 73, 61, 323, 374 |
| 181, 73, 61, 19, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 181 x 73 x 61 x 19 x 22 = 57273862580
Therefore, the lowest common multiple of 362,730,305,646,748 is 57273862580.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
362 x 730 x 305 x 646 x 748 = 38946226554400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
362 : 1, 2, 181, 362
730 : 1, 2, 5, 10, 73, 146, 365, 730
305 : 1, 5, 61, 305
646 : 1, 2, 17, 19, 34, 38, 323, 646
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,730,305,646,748, is 1.
Now, the common factors can be found like this.
362:2x 181
730:2x 5x 73
305:5x 61
646:2x 17x 19
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 17 = 680
Therefore, the value for common factors is 680.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 38946226554400/(1x680)
LCM = 38946226554400/680
LCM = 57273862580
Thus, we can understand that the LCM of 362,730,305,646,748 is 57273862580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 730, 305, 646, 748
1. What is the LCM of 362, 730, 305, 646, 748?
Answer: LCM of 362, 730, 305, 646, 748 is 57273862580.
2. How to calculate the LCM of 362, 730, 305, 646, 748?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 362, 730, 305, 646, 748.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.